In a two dimensional flow, the component of the velocity along the X-axis and the Y-axis are u = ax^2 + bxy + cy^2 and v = cxy. What should be the condition for the flow field to be continuous?
(a) a + c = 0
(b) b + c = 0
(c) 2a + c = 0
(d) 2b + c = 0
The question was posed to me at a job interview.
My question is taken from Continuity Equation topic in portion Kinematics of Flow and Ideal Flow of Fluid Mechanics